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Show new changes starting from 05:36, 23 August 2024
 
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  • diffhist Chi-squared distribution 09:53 0Tallouche talk contribs(I corrected the final expression in the proof of Cochran's theorem. Specifically, (X^T)(Q^T)MQX is not equal to X_1^2 + ... + X_n^2, but rather to X_2^2 + ... + X_n^2. This can be verified by noting that (Q^T)MQ is a block matrix where the first row and column are zeros, and the lower-right block is an identity matrix of dimension n-1. This correction aligns with the theorem, which states the sum should be of the squares of n-1 independent standard normal variables.) Tag: Visual edit